Speaker
Description
Food webs are not just a topic for elementary school lessons; they are an interesting example of a discrete mathematical model, ideally represented through directed graphs. In my talk, I will cover the key concepts of graph theory necessary to analyze food webs. Then, I will explain how to apply them to model the relationships between predators and prey, determine the trophic levels and status of different species within a web. Additionally, I will introduce the concept of a competition graph corresponding to the food web (a graph where each vertex represents a species, and there's an edge between two species if they share a common prey) and explore its connections to interval graphs, which are intersection graphs of a family of intervals on a real line.
Field | Mathematics |
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Length | Long 20 min |